Math, asked by sam01122004, 7 months ago

A pool has a uniform cross-section of radius 5 m and uniform depth 1.4 m. It is filled by a pipe whichdelivers water at the rate of 25 litre per second. Calculate in minutes, the time taken to fill the pool. If thepool is emptied in 29 minutes 10 seconds by another cylindrical pipe through which water flows at m per second, calculate the radius of the pipe in cm.​

Attachments:

Answers

Answered by av2005av9323
0

Volume of pool =πR

2

h=π×5×5×1.4=35πm

3

=3500π litres

Volume of water coming out =50L per second

Time taken to fill the tank =

50

35000π

sec

=

50×7×60

35000×22

min

=36.67 min

Let radius of pipe be

r

cm. Then

Volume of water coming out from pipe in 1 sec, =(πr

2

×200)cm

3

Time required to empty =42min=42×60 sec

πr

2

×200

35×10

6

cm

3

×π

=42×60

⇒r

2

=

42×60×200

35×10

6

=69.44cm

⇒r=

69.44

=8.33cm

Similar questions